Accessible Unlicensed Requires Authentication Published by De Gruyter November 5, 2010

On the Frobenius Problem for {ak, ak + 1, ak + a, . . . , ak + ak−1}

Amitabha Tripathi
From the journal

Abstract

For positive integers a, k, let denote the sequence ak, ak + 1, ak + a, . . . , ak + ak−1. Let denote the set of integers that are expressible as a linear combination of elements of with non-negative integer coefficients. We determine and which denote the largest (respectively, the number of) positive integer(s) not in . We also determine the set of positive integers not in which satisfy , where = \ {0}.

Received: 2009-11-14
Revised: 2010-05-07
Accepted: 2010-05-13
Published Online: 2010-11-05
Published in Print: 2010-November

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